Chapter 4.6, Problem 27PPE

To determine

To XXXX: The value of a .

Answer to Problem 27PPE

The value of a is $a=5$

Explanation of Solution

Given information:

Given function $f\left(x\right)=6x-4$ and $f\left(a\right)=26$ .

To find the value of ‘ a’ first substitute ‘ a’ in given function and then equate to given function value of ‘a’ with function.

  $f\left(a\right)=6a-4$

And now equate with given value $f\left(a\right)=26$ ,

  $6a-4=26$

To simplify the equation first add 4 on both the sides,

  $\begin{array}{l}6a-4+4=26+4\\ 6a=30\end{array}$

Divide by 6 on both the sides,

  $\begin{array}{l}\frac{6a}{6}=\frac{30}{6}\\ a=5\end{array}$

Therefore value of a is $a=5$